Please show all work and steps clearly

Problem $2.(20$ pts$)$ For each $($A$,$B$)$A$-$BK and compare it with

$\{$:$($s$-\backslash$lambda $\_(1))($s$-\backslash$lambda $\_(2))$dots$($s$-\backslash$lambda $\_($n$)))$ to calculate the state feedback gain vector K to place the given

eigenvalues of the closed$-$loop system dynamics matrix A$-$BK$.$ Check your results with

MATLAB.

A$=[[-1,0,-4]]$

$0,$B$=[[1]]$

$1,\backslash$lambda $\_(1,2)=-2+-3$i

A$=[[0,1,-8]]$

$-6,$B$=[[0]]$

$1,\backslash$lambda $\_(1,2)=-4,-5$

Problem $2.(20$ pts$)$ For each $($A$,$B$)$A$-$BK and compare it with

$\{$:$($s$-\backslash$lambda $\_(1))($s$-\backslash$lambda $\_(2))$dots$($s$-\backslash$lambda $\_($n$)))$ to calculate the state feedback gain vector K to place the given

eigenvalues of the closed$-$loop system dynamics matrix A$-$BK$.$ Check your results with

MATLAB.

A$=[[-1,0,-4]]$

$0,$B$=[[1]]$

$1,\backslash$lambda $\_(1,2)=-2+-3$i

A$=[[0,1,-8]]$

$-6,$B$=[[0]]$

$1,\backslash$lambda $\_(1,2)=-4,-5$